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Finding the Fourth Proportional to 106,808.40, 160,211.38 and 31,929.16

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Solution

The fourth proportional to 106,808.40, 160,211.38 and 31,929.16 is: 47,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.40 : 160,211.38 = 31,929.16 : x
  2. Step 2: Convert to fraction form
    106,808.40/160,211.38 = 31,929.16/x
  3. Step 3: Cross multiply
    106,808.40x = 160,211.38 × 31,929.16
  4. Step 4: Simplify right side
    106,808.40x = 5,115,414,785.84
  5. Step 5: Solve for x
    x = 5,115,414,785.84/106,808.40
  6. Step 6: Final answer
    x = 47,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.